If the amount invested by the two compani… | Answer

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Data Interpretation

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If the amount invested by the two companies in 2005 was equal, what was the ratio of the total income of the Company A to that of B in 2005?
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ক)

31: 33

খ)

33: 31

গ)

34: 31

ঘ)

14: 11

ঙ)

None of these

Explanation

Total income = Profit earned + Total investment in the year. Investment = (Profit earned/Profit percentage) × 100 Profit percentage of A in 2005 = 70% Profit percentage of B in 2005 = 55% Investment of A in 2005 = PA/0.7 Investment of B in 2005 = PB/0.55 [PA and PB are profits of A and B respectively] Given both investments are same ⇒ PA/PB = 0.7/0.55 Total income of A in 2005 = PA + PA/0.7 = PA (1 + 1/0.7) Total income of B in 2005 = PB (1 + 1/0.55) ∴ Ratio of incomes =

\frac{{{{\rm{P}}_{\rm{A}}}}}{{{{\rm{P}}_{\rm{B}}}}} \times \frac{{1 + \frac{1}{{0.7}}}}{{1 + \frac{1}{{0.55}}}} = \frac{{0.7}}{{0.55}} \times \left( {\frac{{1.7}}{{1.55}}} \right) \times \frac{{0.55}}{{1.7}} = \frac{{1.7}}{{1.55}}

∴ Ratio = 1.7: 1.55 = 34: 31

If the amount invested by the two companies in 2005 was equal, what was the ratio of the total income of the Company A to that of B in 2005?Reading

If the amount invested by the two companies in 2005 was equal, what was the ratio of the total income of the Company A to that of B in 2005?

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If the amount invested by the two companies in 2005 was equal, what was the ratio of the total income of the Company A to that of B in 2005?
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